It is currently 20 Nov 2017, 14:50

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Fourth power of 2^(root(2) is:

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 19 May 2014
Posts: 31

Kudos [?]: 28 [1], given: 9

Fourth power of 2^(root(2) is: [#permalink]

Show Tags

New post 22 May 2014, 05:18
1
This post received
KUDOS
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

56% (00:47) correct 44% (00:32) wrong based on 157 sessions

HideShow timer Statistics

Fourth power of \(2^{\sqrt{2}\) is:

(A) 4
(B) \(16^{\sqrt{2}\)
(C) 16
(D) 64
(E) 256


Source: Original Question
[Reveal] Spoiler: OA

_________________

Please press Kudos if you were helped by my post!


Last edited by Bunuel on 22 May 2014, 05:23, edited 1 time in total.
Renamed the topic and edited the question.

Kudos [?]: 28 [1], given: 9

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42269

Kudos [?]: 132827 [1], given: 12378

Re: Fourth power of 2^(root(2) is: [#permalink]

Show Tags

New post 22 May 2014, 05:30
1
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
MavenQ wrote:
Fourth power of \(2^{\sqrt{2}\) is:

(A) 4
(B) \(16^{\sqrt{2}\)
(C) 16
(D) 64
(E) 256


Source: Original Question


\((a^m)^n=a^{mn}\)

\(a^m^n=a^{(m^n)}\) and not \((a^m)^n\) (if exponentiation is indicated by stacked symbols, the rule is to work from the top down)

Thus, \((2^{\sqrt{2}})^4=2^{4\sqrt{2}}=16^{\sqrt{2}}\).

Answer: B.

Theory on Exponents: math-number-theory-88376.html

All DS Exponents questions to practice: search.php?search_id=tag&tag_id=39
All PS Exponents questions to practice: search.php?search_id=tag&tag_id=60

Tough and tricky DS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125967.html
Tough and tricky PS exponents and roots questions with detailed solutions: tough-and-tricky-exponents-and-roots-questions-125956.html


P.S. Please name the topics properly. Check out rule 3 here: rules-for-posting-please-read-this-before-posting-133935.html Thank you.


_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 132827 [1], given: 12378

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1851

Kudos [?]: 2715 [0], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Fourth power of 2^(root(2) is: [#permalink]

Show Tags

New post 22 May 2014, 21:47
Just adding up:

\({a^b}^{c} = a^{(b^c)}\)

\((a^b)^c = a^{bc}\)


For example:

\({2^3}^{2}= 2^9 = 512\)

\((2^3)^2 = 2^6 = 64 Or\)

\((2^3)^2 = 8^2 = 64\)
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2715 [0], given: 193

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15612

Kudos [?]: 283 [0], given: 0

Premium Member
Re: Fourth power of 2^(root(2) is: [#permalink]

Show Tags

New post 24 Apr 2016, 15:49
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15612

Kudos [?]: 283 [0], given: 0

Premium Member
Re: Fourth power of 2^(root(2) is: [#permalink]

Show Tags

New post 29 Sep 2017, 00:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Re: Fourth power of 2^(root(2) is:   [#permalink] 29 Sep 2017, 00:07
Display posts from previous: Sort by

Fourth power of 2^(root(2) is:

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.